// Numbas version: exam_results_page_options
{"name": "Q1r Finding a fraction of a quantity (16)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Q1r Finding a fraction of a quantity (16)", "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>There are&nbsp; $\\var{number}$&nbsp; students in Year&nbsp; $4$&nbsp; at the local primary school.</p>", "advice": "<p>In order to find&nbsp; $\\displaystyle{\\frac{\\var{num}}{\\var{den}}}$&nbsp; of&nbsp; $\\var{number}$, we can first find $\\displaystyle{\\frac{1}{\\var{den}}}$&nbsp; of&nbsp; $\\var{number}$, then multiply this answer by&nbsp; $\\var{num}$.</p>\n<p>$\\var{number} \\div \\var{den} = \\var{number/den}$.</p>\n<p>So $\\displaystyle{\\frac{1}{\\var{den}}} \\text{ of } \\var{number} = \\var{number/den}$.</p>\n<p>$\\displaystyle{\\frac{\\var{num}}{\\var{den}}}&nbsp; \\text{ of }&nbsp; \\var{number} = \\var{num} \\times \\var{number/den} = \\var{num*number/den}$.</p>\n<p>So&nbsp; $\\var{num*number/den}$&nbsp; students in Year&nbsp; $4$&nbsp; at the local primary school have CALD backgrounds.</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"numbers": {"name": "numbers", "group": "Ungrouped variables", "definition": "[24,30,36,40]", "description": "", "templateType": "anything", "can_override": false}, "index": {"name": "index", "group": "Ungrouped variables", "definition": "random(0..len(numbers)-1)", "description": "", "templateType": "anything", "can_override": false}, "number": {"name": "number", "group": "Ungrouped variables", "definition": "numbers[index]", "description": "", "templateType": "anything", "can_override": false}, "den1": {"name": "den1", "group": "Ungrouped variables", "definition": "[3,3,4,4]", "description": "", "templateType": "anything", "can_override": false}, "num1": {"name": "num1", "group": "Ungrouped variables", "definition": "[2,2,3,3]", "description": "", "templateType": "anything", "can_override": false}, "n1": {"name": "n1", "group": "Ungrouped variables", "definition": "num1[index]", "description": "", "templateType": "anything", "can_override": false}, "d1": {"name": "d1", "group": "Ungrouped variables", "definition": "den1[index]", "description": "", "templateType": "anything", "can_override": false}, "row": {"name": "row", "group": "Ungrouped variables", "definition": "random(0..3)", "description": "", "templateType": "anything", "can_override": false}, "num2": {"name": "num2", "group": "Ungrouped variables", "definition": "[3,4,5,2]", "description": "", "templateType": "anything", "can_override": false}, "den2": {"name": "den2", "group": "Ungrouped variables", "definition": "[4,5,6,5]", "description": "", "templateType": "anything", "can_override": false}, "n2": {"name": "n2", "group": "Ungrouped variables", "definition": "num2[index]", "description": "", "templateType": "anything", "can_override": false}, "d2": {"name": "d2", "group": "Ungrouped variables", "definition": "den2[index]", "description": "", "templateType": "anything", "can_override": false}, "nums": {"name": "nums", "group": "Ungrouped variables", "definition": "[n1,n2,n3,n4]", "description": "", "templateType": "anything", "can_override": false}, "dens": {"name": "dens", "group": "Ungrouped variables", "definition": "[d1,d2,d3,d4]", "description": "", "templateType": "anything", "can_override": false}, "num": {"name": "num", "group": "Ungrouped variables", "definition": "nums[row]", "description": "", "templateType": "anything", "can_override": false}, "den": {"name": "den", "group": "Ungrouped variables", "definition": "dens[row]", "description": "", "templateType": "anything", "can_override": false}, "num3": {"name": "num3", "group": "Ungrouped variables", "definition": "[5,5,4,3]", "description": "", "templateType": "anything", "can_override": false}, "den3": {"name": "den3", "group": "Ungrouped variables", "definition": "[6,6,9,8]", "description": "", "templateType": "anything", "can_override": false}, "n3": {"name": "n3", "group": "Ungrouped variables", "definition": "num3[index]", "description": "", "templateType": "anything", "can_override": false}, "d3": {"name": "d3", "group": "Ungrouped variables", "definition": "den3[index]", "description": "", "templateType": "anything", "can_override": false}, "num4": {"name": "num4", "group": "Ungrouped variables", "definition": "[7,8,11,9]", "description": "", "templateType": "anything", "can_override": false}, "den4": {"name": "den4", "group": "Ungrouped variables", "definition": "[8,15,12,10]", "description": "", "templateType": "anything", "can_override": false}, "n4": {"name": "n4", "group": "Ungrouped variables", "definition": "num4[index]", "description": "", "templateType": "anything", "can_override": false}, "d4": {"name": "d4", "group": "Ungrouped variables", "definition": "den4[index]", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["index", "numbers", "number", "num1", "den1", "n1", "d1", "num2", "den2", "n2", "d2", "num3", "den3", "n3", "d3", "num4", "den4", "n4", "d4", "row", "nums", "dens", "num", "den"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\displaystyle{\\frac{\\var{num}}{\\var{den}}}$&nbsp; of them come from culturally and linguistically diverse (CALD) backgrounds.</p>\n<p>How many students in Year&nbsp; $4$&nbsp; have CALD backgrounds?</p>\n<p></p>", "minValue": "num/den*number", "maxValue": "num/den*number", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}]}], "contributors": [{"name": "Adelle Colbourn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2083/"}]}